1001201112020 has 48 divisors (see below), whose sum is σ = 2226892001040. Its totient is φ = 376805627904.

The previous prime is 1001201112001. The next prime is 1001201112029. The reversal of 1001201112020 is 202111021001.

1001201112020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 24511659844 + 976689452176 = 156562^2 + 988276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001201111992 and 1001201112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001201112029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641882 + ... + 1553838.

It is an arithmetic number, because the mean of its divisors is an integer number (46393583355).

Almost surely, 2^{1001201112020} is an apocalyptic number.

1001201112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001201112020 is an abundant number, since it is smaller than the sum of its proper divisors (1225690889020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001201112020 is a wasteful number, since it uses less digits than its factorization.

1001201112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915212 (or 915210 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001201112020 its reverse (202111021001), we get a palindrome (1203312133021).

The spelling of 1001201112020 in words is "one trillion, one billion, two hundred one million, one hundred twelve thousand, twenty".